Large time behavior of the heat kernel

被引：25
作者：
Pinchover, Y [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2004年 / 206卷 / 01期
关键词：
heat kernel; ground state; principal eigenvalue; recurrence;
D O I：
10.1016/S0022-1236(03)00110-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the large time behavior of the (minimal) beat kernel k(P)(M) (x, y, t) of a general time-independent parabolic operator Lu = u(t) + P(x, partial derivative(x))u which is defined on a. noncompact manifold M. More precisely, we prove that lim(t-->infinity) e(lambda0t) k(P)(M)(x, y, t) always exists. Here lambda(0) is the generalized principal eigenvalue of the operator P in M. (C) 2003 Elsevier Inc. All rights reserved.
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页码：191 / 209
页数：19
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